{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T11:44:09Z","timestamp":1649072649299},"reference-count":2,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":10328,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1985,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Given a prime <jats:italic>p<\/jats:italic>, we exhibit a Horn sentence <jats:italic>H<jats:sub>p<\/jats:sub><\/jats:italic> which expresses \u201cthe cardinality is not <jats:italic>p<\/jats:italic>\u201d and has size <jats:italic>O<\/jats:italic>(<jats:italic>p<\/jats:italic><jats:sup>5<\/jats:sup> log <jats:italic>p<\/jats:italic>).<\/jats:p>","DOI":"10.2307\/2273991","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:15:32Z","timestamp":1146939332000},"page":"1062-1064","source":"Crossref","is-referenced-by-count":1,"title":["An algorithm to determine, for any prime <i>p<\/i>, a polynomial-sized Horn sentence which expresses \u201cThe cardinality is not <i>p<\/i>\u201d"],"prefix":"10.1017","volume":"50","author":[{"given":"Sauro","family":"Tulipani","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200032023_ref002","first-page":"467","volume":"49","author":"Blass","year":"1984","journal-title":"There are not exactly five objects"},{"key":"S0022481200032023_ref001","first-page":"306","volume":"24","author":"Appel","year":"1959","journal-title":"Horn sentences in identity theory"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200032023","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T16:56:06Z","timestamp":1558544166000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200032023\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,12]]},"references-count":2,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1985,12]]}},"alternative-id":["S0022481200032023"],"URL":"https:\/\/doi.org\/10.2307\/2273991","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,12]]}}}